Description

Using a few conditions, continuous dependence, and a result regarding smoothness of initial conditions, we show that derivatives, with respect to each of the boundary data, of solutions to a second order boundary value problem with an average value integral condition solve the associated variational equation with interesting boundary conditions.

Presenter Bio

Samantha Major is a Mathematics Major and currently in her second year of undergraduate studies at Nova Southeastern University. After attaining her B.S., she plans to pursue graduate work in Physics. The work she will present has been accepted for publication in the mathematics journal Involve: A Journal of Mathematics. She is involved in many extracurricular activities including the Nova Singers.

Date of Event

Thursday, November 3 from 12:00 PM - 1:00 PM

Location

Mailman-Hollywood Auditorium 2nd Floor

NSU News Release Link

http://cnso.nova.edu/news/articles/value-problems.html

Included in

Mathematics Commons

Share

COinS
 
Nov 3rd, 12:00 PM Nov 3rd, 1:00 PM

Continuous Dependence and Differentiating Solutions of a Second Order Boundary Value Problem with Average Value Condition

Mailman-Hollywood Auditorium 2nd Floor

Using a few conditions, continuous dependence, and a result regarding smoothness of initial conditions, we show that derivatives, with respect to each of the boundary data, of solutions to a second order boundary value problem with an average value integral condition solve the associated variational equation with interesting boundary conditions.

http://nsuworks.nova.edu/mathematics_colloquium/ay_2016-2017/events/7